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新gre数学重要考点知识排列

信息来源:网络  发布时间:2012-01-04

  Permutation of Objects
 

  The number of ways n distinct objects can be ordered is n.
 

  Example:
 

  Number of ways 6 people can from a queue is 6.
 

  Number of ways 5 different cars can be parked in 5 parking spaces is 5.
 

  Remember:
 

  This does not apply if there are identical objects or ordering does not matter.
 

  Permutation with Selection
 

  The number of ways n objects drawn from a collection of m distinct objects can be ordered is m!/(m-n).
 

  Example:
 

  Number of ways a queue of length 3 can be formed from a group of 5 people is 5!/(5-3)!=5!/2!=5*4*3=60.
 

  Number of possible top ten list for 150 movies is 150!/(150-10).
 

  Remember:
 

  This does not apply if there are identical objects or ordering does not matter.

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